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Finding the Third Proportional to 4,812,963,857 and 10,288,289,573.25

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Solution

The third proportional to 4,812,963,857 and 10,288,289,573.25 is: 21,992,457,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812,963,857 : 10,288,289,573.25 = 10,288,289,573.25 : x
  2. Step 2: Convert to fraction form
    4,812,963,857/10,288,289,573.25 = 10,288,289,573.25/x
  3. Step 3: Cross multiply
    4,812,963,857x = 10,288,289,573.25 × 10,288,289,573.25
  4. Step 4: Simplify right side
    4,812,963,857x = 105,848,902,343,044,661,248
  5. Step 5: Solve for x
    x = 105,848,902,343,044,661,248/4,812,963,857
  6. Step 6: Final answer
    x = 21,992,457,348.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.